What is the Greatest Common Factor of 27510 and 27525?

Greatest common factor (GCF) of 27510 and 27525 is 15.

GCF(27510,27525) = 15

We will now calculate the prime factors of 27510 and 27525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27510 and 27525.

How to find the GCF of 27510 and 27525?

We will first find the prime factorization of 27510 and 27525. After we will calculate the factors of 27510 and 27525 and find the biggest common factor number .

Step-1: Prime Factorization of 27510

Prime factors of 27510 are 2, 3, 5, 7, 131. Prime factorization of 27510 in exponential form is:

27510 = 2¹ × 3¹ × 5¹ × 7¹ × 131¹

Step-2: Prime Factorization of 27525

Prime factors of 27525 are 3, 5, 367. Prime factorization of 27525 in exponential form is:

27525 = 3¹ × 5² × 367¹

Step-3: Factors of 27510

List of positive integer factors of 27510 that divides 27510 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 131, 210, 262, 393, 655, 786, 917, 1310, 1834, 1965, 2751, 3930, 4585, 5502, 9170, 13755

Step-4: Factors of 27525

List of positive integer factors of 27525 that divides 27510 without a remainder.

1, 3, 5, 15, 25, 75, 367, 1101, 1835, 5505, 9175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27510 and 27525. The biggest common factor number is the GCF number.
So the greatest common factor 27510 and 27525 is 15.

Also check out the Least Common Multiple of 27510 and 27525